255214080 has 480 divisors, whose sum is σ = 1034130240. Its totient is φ = 57507840.

The previous prime is 255214079. The next prime is 255214109. The reversal of 255214080 is 80412552.

It is a happy number.

255214080 is a `hidden beast` number, since 25 + 521 + 40 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4815334 + ... + 4815386.

It is an arithmetic number, because the mean of its divisors is an integer number (2154438).

Almost surely, 2^255214080 is an apocalyptic number.

255214080 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 255214080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (517065120).

255214080 is an abundant number, since it is smaller than the sum of its proper divisors (778916160).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

255214080 is a wasteful number, since it uses less digits than its factorization.

255214080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 112 (or 93 counting only the distinct ones).

The product of its (nonzero) digits is 3200, while the sum is 27.

The square root of 255214080 is about 15975.4211212099. The cubic root of 255214080 is about 634.3099785493.

The spelling of 255214080 in words is "two hundred fifty-five million, two hundred fourteen thousand, eighty".